345/40 as a Decimal and Mixed Number

345/40 as a decimal and mixed number expansion provides the detailed information about what is 345/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/40 as a Decimal
345/40 = 8.625
Hence,
345/40 as a decimal equals to 8.625
where,
345/40 is a given fraction,
The decimal expansion of 345/40 is 8.625

345/40 as a Mixed Number
345/40 = (320 + 25)/40
= 320/40 + 25/40
= 8 + 25/40
= 8 25/40
345/40 = 8 25/40

Hence,
345/40 as a mixed number is 8 ²⁵/₄₀
where,
345/40 is a given fraction,
8 ²⁵/₄₀ is the mixed number representation of 345/40.

The below work with steps provide the detailed information about how to convert fraction 345/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/40.

step 2 The numerator is greater than the denominator of the fraction 345/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/40
= 320 + 25/40
= (8 x 40) + 25/40

step 3 Make the above expression as individual fractions:
= (8 x 40)/40 + 25/40

step 4 Simplify the above expression:
= 8 x 40/40 + 25/40
= 8 + 25/40
= 8 + 5 x 5/8 x 5
= 8 + 5/8
8 + 5/8 can be written as a mixed number 8 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 8 + (5/8 x 125/125)
= 8 + 625/1000

step 6 Simplify the above expression further:
= 8 + 0.625
= 8.625
345/40 = 8.625

Hence,
345/40 as a decimal is 8.625
345/40 as a mixed number is 8 ⁵/₈